Within the economic production quantity (EPQ) framework, the main purpose of this paper is to deal with Chung and Huang’s model (2003) and extend Chung and Huang’s model (2003) by considering the unit selling price higher than the unit purchasing cost using the algebraic method to determine the optimal inventory replenishment policy for the retailer under trade credit. This paper provides this ...

We propose tractable replenishment policies for a multi-period, single product inventory control problem under ambiguous demands, that is, only limited information of the demand distributions such as mean, support and deviation measures are available. We obtain the parameters of the tractable replenishment policies by solving a deterministic optimization problem in the form of second order cone...

We deviate from the Berman et al. models in inventory with positive service time. We establish a necessary and sufficient condition for system stability. Several performance measures are computed. An optimisation problem is discussed. Our analysis suggests that it is optimal to place the replenishment order when the inventory level is positive (even in the zero lead time case). Numerical illust...

We study a joint inventory and pricing problem in a single-stage system with a positive lead time. We consider both additive and multiplicative demand forms. This problem is, in general, intractable due to its computational complexity. We develop a simple heuristic that resolves this issue. The heuristic involves a myopic pricing policy that generates each period’s price as a function of the in...

This paper considers the ranking of alternative replenishment policies for a single-location inventory when customer demand is con"ned to a single product. It is supposed that customer demand is uncertain and described by imprecise linguistic terms de"ned by fuzzy sets. For example, `demand is about da, or `demand is more or less between d and d a, or more complex `demand is about d, but there ...

In the reverse supply chain inventory theory, inventory models are concerned with the demand of reusable parts, stock replenishment, ordering cycle, delivery lead time, number of disassembled products, ordering costs. The particularity of these models consists in the occurrence of high uncertainties of the quantity and quality of the returned products and resulting parts. To overcome the proble...

The growth of omni-channel retailing resulted in many new challenges for retailers, especially relation to the replenishment and allocation inventories different channels. In this paper we consider a brick-and-mortar store that uses its inventory fulfil both in-store demand as well online orders. addition deciding on quantities, such retailer also has decide how ration across Practically, ratio...

This paper deals with two warehouse inventory model of determining the optimal replenishment policy for non-instantaneous deteriorating items partial backlogging and stock-dependent demand. In the model, shortages are allowed and the backlogging rate is variable and dependent on the waiting time for the next replenishment. The necessary and sufficient conditions of the existence and uniqueness ...

We deal with a multi-echelon inventory system in which one warehouse supplies an item to multiple retailers. Customer demand arrives at each retailer at a constant rate. The retailers replenish their inventories from the warehouse which in turn orders from an outside supplier. It is assumed that shortages are not allowed and lead times are negligible. These distribution/inventory systems are en...